Finding the Third Proportional to 4,711.50 and 10,164.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,711.50 : 10,164.75 = 10,164.75 : x
2. Step 2: Convert to fraction form
   4,711.50/10,164.75 = 10,164.75/x
3. Step 3: Cross multiply
   4,711.50x = 10,164.75 × 10,164.75
4. Step 4: Simplify right side
   4,711.50x = 103,322,142.56
5. Step 5: Solve for x
   x = 103,322,142.56/4,711.50
6. Step 6: Final answer
   x = 21,929.78